We discuss an atomistic model for heterogeneous nanowires, allowing for dislocations at the interface. We study the limit as the atomic distance converges to zero, considering simultaneously a dimension reduction and the passage from discrete to continuum. Employing the notion of Gamma-convergence, we establish the minimal energies associated to defect-free configurations and configurations with dislocations at the interface, respectively. It turns out that dislocations are favoured if the thickness of the wire is sufficiently large.
Dislocations in nanowire heterostructures: from discrete to continuum / Lazzaroni, Giuliano; Palombaro, M; Schlömerkemper, A.. - In: PROCEEDINGS IN APPLIED MATHEMATICS AND MECHANICS. - ISSN 1617-7061. - 13:1(2013), pp. 541-544. (Intervento presentato al convegno 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) tenutosi a Novi Sad (Serbia) nel 18-22/03/2013) [DOI: 10.1002/pamm.201310260].
Dislocations in nanowire heterostructures: from discrete to continuum
2013-01-01
Abstract
We discuss an atomistic model for heterogeneous nanowires, allowing for dislocations at the interface. We study the limit as the atomic distance converges to zero, considering simultaneously a dimension reduction and the passage from discrete to continuum. Employing the notion of Gamma-convergence, we establish the minimal energies associated to defect-free configurations and configurations with dislocations at the interface, respectively. It turns out that dislocations are favoured if the thickness of the wire is sufficiently large.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
